Home / 7,820.36-11,730.66-1,977.02

Finding the Fourth Proportional to 7,820.36, 11,730.66 and 1,977.02

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Solution

The fourth proportional to 7,820.36, 11,730.66 and 1,977.02 is: 2,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.36 : 11,730.66 = 1,977.02 : x
  2. Step 2: Convert to fraction form
    7,820.36/11,730.66 = 1,977.02/x
  3. Step 3: Cross multiply
    7,820.36x = 11,730.66 × 1,977.02
  4. Step 4: Simplify right side
    7,820.36x = 23,191,749.43
  5. Step 5: Solve for x
    x = 23,191,749.43/7,820.36
  6. Step 6: Final answer
    x = 2,965.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.